Compositum of Galois extensions of hilbertian fields

D. Haran; M. Jarden

Annales scientifiques de l'École Normale Supérieure (1991)

  • Volume: 24, Issue: 6, page 739-748
  • ISSN: 0012-9593

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Haran, D., and Jarden, M.. "Compositum of Galois extensions of hilbertian fields." Annales scientifiques de l'École Normale Supérieure 24.6 (1991): 739-748. <http://eudml.org/doc/82310>.

@article{Haran1991,
author = {Haran, D., Jarden, M.},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {Galois extensions; Hilbertian field; wreath product},
language = {eng},
number = {6},
pages = {739-748},
publisher = {Elsevier},
title = {Compositum of Galois extensions of hilbertian fields},
url = {http://eudml.org/doc/82310},
volume = {24},
year = {1991},
}

TY - JOUR
AU - Haran, D.
AU - Jarden, M.
TI - Compositum of Galois extensions of hilbertian fields
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1991
PB - Elsevier
VL - 24
IS - 6
SP - 739
EP - 748
LA - eng
KW - Galois extensions; Hilbertian field; wreath product
UR - http://eudml.org/doc/82310
ER -

References

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  1. [D] K. DÖRGE, Einfacher Beweis des Hilbertschen Irreduzibilitätssatzes (Math. Annal., Vol. 96, 1927, pp. 176-182). Zbl52.0101.01JFM52.0101.01
  2. [F] M. FRIED, Irreducibility Results for Separated Variables Equations (J. Pure Appl. Alg., Vol. 48, 1987, pp. 9-22). Zbl0646.13006MR89a:14004
  3. [FJ] M. D. FRIED and M. JARDEN, Field Arithmetic (Ergebnisse der Mathematik III, Vol. 11, Springer, Heidelberg, 1986). Zbl0625.12001MR89b:12010
  4. [Fr] W. FRANZ, Untersuchungen zum Hilbertschen Irreduzibilitätssatz (Math. Z., Vol. 33, 1931, pp. 275-293). Zbl0001.05103JFM57.0124.13
  5. [G] W.-D. GEYER, Galois Groups of Intersections of Local Fields (Israel J. Math., Vol. 30, 1978, pp. 382-396). Zbl0383.12014MR80a:12017
  6. [H] D. HILBERT, Über die Irreduzibilität ganzer rationaler Funktionen mit ganzzahligen Koeffizienten (J. reine angew. Math., Vol. 110, 1892, pp. 104-129). JFM24.0398.05
  7. [I] E. INABA, Über den Hilbertschen Irreduzibilitätssatz (Jap. J. Math., Vol. 19, 1944, pp. 1-25). Zbl0060.04703MR8,62a
  8. [K] W. KUYK, Extensions de corps hilbertiens (J. Alg., Vol. 14, 1970, pp. 112-124). Zbl0211.38601MR41 #1698
  9. [L] S. LANG, Algebra, Addison-Wesley, Reading, 1970. MR44 #181
  10. [M] B. H. MATZAT, Über das Umkehrproblem der Galoisschen Theorie (Jahresbericht Deutschen Mathematiker-Vereinigung, Vol. 90, 1988, pp. 155-183). Zbl0662.12008MR90k:12007
  11. [Mc] S. MACLANE, Homology, Springer, Berlin, 1963. Zbl0133.26502MR28 #122
  12. [R] L. RIBES, Introduction to Profinite Groups and Galois Cohomology (Queen's Papers Pure Appl. Math., No. 24, Queen's University, Kingston, 1970). Zbl0221.12013MR41 #5495
  13. [S] V. G. SPRINDZUK, Reducibility of Polynomials and Rational Points on Algebraic Curves (Seminar on Number Theory, Paris, 1979-1980). Zbl0519.14016
  14. [U] K. UCHIDA, Separably Hilbertian Fields (Kodai Math. J., Vol. 3, 1980, pp. 83-95). Zbl0435.12010MR81j:12019
  15. [W] R. WEISSAUER, Der Hilbertsche Irreduzibilitätssatz (J. reine angew. Math., Vol. 334, 1982, pp. 203-220). Zbl0477.12029MR84c:12020
  16. [Z] P. ZORN, Der Hilbertsche Irreduzibilitätssatz, Zulassungsarbeit zur wissenschaftlichen Prüfung für das Höhere Lehramt, written under the supervision of W.-D. GEYER, Erlangen, 1975. 

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